Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives
From MaRDI portal
Publication:2057463
DOI10.1186/s13662-020-02568-2zbMath1482.34011OpenAlexW3030999203MaRDI QIDQ2057463
Hojjat Afshari, Mojtaba Sajjadmanesh, Dumitru Baleanu
Publication date: 6 December 2021
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02568-2
Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
Related Items
On a new fixed point theorem with an application on a coupled system of fractional differential equations, Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
- Positive solutions for a system of fractional differential equations with coupled integral boundary conditions
- Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary conditions
- On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
- New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems
- Multiple positive solutions to singular positone and semipositone Dirichlet-type boundary value problems of nonlinear fractional differential equations
- Existence of a positive solution to systems of differential equations of fractional order
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
- Existence of a positive solution to a class of fractional differential equations
- The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations.
- Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
- Asymptotics and oscillation of higher-order functional dynamic equations with Laplacian and deviating arguments
- Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
- Dynamics of a fourth-order system of rational difference equations
- Solution of fractional differential equations via \(\alpha-\psi\)-Geraghty type mappings
- Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations
- Ulam-Hyers stability analysis to a class of nonlinear implicit impulsive fractional differential equations with three point boundary conditions
- Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations
- Positive solutions of a system of non-autonomous fractional differential equations
- Blow-up rates for parabolic systems
- A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
- Positive solutions for a class of fractional differential equations with integral boundary conditions
- Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions
- Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations
- Coupled fixed points of nonlinear operators with applications
- A Comparison Method for Stability Analysis of Nonlinear Parabolic Problems
- Fixed points of mixed monotone operators with applications
- Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
- Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions
- On Ulam's type stability for a class of impulsive fractional differential equations with nonlinear integral boundary conditions
- Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
- Existence and uniqueness of positive solutions for a class of fractional differential equation with integral boundary conditions
- Tripled fixed point theorems and applications to a fractional differential equation boundary value problem
- Positive solutions for boundary value problem of nonlinear fractional differential equation
- Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition
- The unique solution of some operator equations via fractional differential equations